Zur Formulierung quantisierter Feldtheorien

Lehmann, Harry; Symanzik, K.; Zimmermann, W.

doi:10.1007/bf02731765

Cited by 844 publications

(398 citation statements)

References 4 publications

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“…As we pointed out above the unitarity sum (1) defines the spectral function in a dispersion relation with respect to the mass variable of one of the final mesons. The relations (8) and (9) are the main results we obtained in the frame of the standard LSZ formalism.…”

Section: Dispersion Relations In the External Mass Variablementioning

confidence: 89%

“…We use here and in what follows the fact that the single particle states in and out are identical. As shown in [5]- [8], due to the factor θ(x 0 ) the amplitude (4) can be extended as an analytic function in the upper half of the complex plane of the time component k 10 . A more detailed analysis [7], exploiting also the causality properties of the retarded commutator and the relation k 2 1 = k 2 10 + k 2 1 , shows that the amplitude A(m 2 B , k 2 1 , m 2 2 ) can be extended as an analytic function in the whole complex plane k 2 1 , cut along a part of the real axis, where its discontinuity is [5] DiscA…”

Section: Dispersion Relations In the External Mass Variablementioning

confidence: 99%

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Dispersion relations and rescattering effects inBnonleptonic decays

1999

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Recently, the final state strong interactions in nonleptonic B decays were investigated in a formalism based on hadronic unitarity and dispersion relations in terms of the off-shell mass squared of the B meson. We consider an heuristic derivation of the dispersion relations in the mass variables using the reduction LSZ formalism and find a discrepancy between the spectral function and the dispersive variable used in the recent works. The part of the unitarity sum which describes final state interactions is shown to appear as spectral function in a dispersion relation based on the analytic continuation in the mass squared of one final particles. As an application, by combining this formalism with Regge theory and SU (3) flavour symmetry we obtain constraints on the tree and the penguin amplitudes of the decay B 0 → π + π − .

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Section: Dispersion Relations In the External Mass Variablementioning

confidence: 89%

Section: Dispersion Relations In the External Mass Variablementioning

confidence: 99%

Dispersion relations and rescattering effects inBnonleptonic decays

1999

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“…Here, we have assumed the validity of the Lehmann-SymanzikZimmermann (LSZ) asymptotic condition [20] or its suitable modification so that we can relate a field operator to a particle state through its asymptotic field. Since QCD is infested with infrared singularities an infrared cut-off is introduced to validate the asymptotic condition, and only after confinement of colored particles it can be lifted safely for the system of hadrons.…”

Section: Interpretation Of Color Conf Inementmentioning

confidence: 99%

“…For this purpose we shall consider the two-point function 20) then because of Eq. (3.15) the most general form of its Fourier transform can be expressed as…”

Section: Conditions F or Color Conf Inement And Their Relationshipmentioning

confidence: 99%

“…Thus Green's functions involving only BRS invariant operators do not depend on the choice of the gauge within the same equivalence class. When these composite operators represent hadrons we can apply the LSZ reduction formula [20] to such Green's functions to obtain the gauge-independent transition amplitudes for hadronic reactions [34,35,36]. The unitarity condition for the BRS invariant S matrix between two hadronic states |a and |b is given by…”

Section: Gauge − Independence Of the Concept Of Color Conf Inementmentioning

confidence: 99%

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Renormalization constant of the color gauge field as a probe of confinement

Chaichian

Nishijima²

2001

Eur. Phys. J. C

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The mechanism of color confinement as a consequence of an unbroken non-abelian gauge symmetry and asymptotic freedom is elucidated and compared with that of other models based on an analogy with the type II superconductor. It is demonstrated that a sufficient condition for color confinement is given by Z −1 3 = 0 where Z 3 denotes the renormalization constant of the color gauge field. It is shown that this condition is actually satisfied in quantum chromodynamics and that some of the characteristic features of other models follow from it.

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Zur Theorie der Elementarteilchen. II

Heber

1956

Annalen der Physik

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InhaltsubersichtI n einer bestimmten Theorie zweier gekoppelter Felder existiert, wie fruher gezeigt wurde, unter gewissen Bedingungen ein Grundzustand, der dazu ein-Iadt, als klassisch-feldtheoretisches Abbild eines angezogenen, vereinfachten Elementart,eilchens (Nukleons) interpretiert xu werden. Es wird diskutiert, welehe Schwierigkeiten gegen und welche Vorziige fur diese Interpretation sprechen. Wesentlichster Punkt diirfte die Tatsache sein, dalj die zu besprechende Deutung nicht, vereinbar ist mit der ublichen kanonischen Feldquantisierung, weil hier auch das nackte Nulileon schon endliche Ausdehnung besitzt.

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Zur Formulierung quantisierter Feldtheorien

Cited by 844 publications

References 4 publications

Dispersion relations and rescattering effects inBnonleptonic decays

Dispersion relations and rescattering effects inBnonleptonic decays

Renormalization constant of the color gauge field as a probe of confinement

Zur Theorie der Elementarteilchen. II

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